Abstract
This paper presents a study on the simulation of a system for the thermal processing of materials, using symbolic computation. The governing equations are obtained as a system of ordinary and partial difference equations, after employing several simplifications and assumptions regarding the transport processes. A Prolog-based software is developed to undertake logical decisions, implement numerical constraints, discretize the governing equations, which are entered interactively by the user, and carry out symbolic computations. The software uses symbolic manipulations to classify a given equation as an ordinary differential equation or as a partial differential equation of a particular type and to decide on the numerical approach. The Prolog program then obtains the relevant finite difference equations in symbolic form. The computations for the solutions are carried out by relevant algorithms stored in the various modules attached to the main program. The basic scheme employed for the symbolic computation of the relevant heat transfer processes is discussed in detail.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 33-40 |
| Number of pages | 8 |
| Journal | American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD |
| Volume | 105 |
| State | Published - 1988 |
| Event | Symbolic Computation in Fluid Mechanics and Heat Transfer - Chicago, IL, USA Duration: Nov 27 1988 → Dec 2 1988 |
All Science Journal Classification (ASJC) codes
- Mechanical Engineering
- Fluid Flow and Transfer Processes